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Finding the Fourth Proportional to 10,890.84, 16,330.94 and 4,564.53

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Solution

The fourth proportional to 10,890.84, 16,330.94 and 4,564.53 is: 6,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890.84 : 16,330.94 = 4,564.53 : x
  2. Step 2: Convert to fraction form
    10,890.84/16,330.94 = 4,564.53/x
  3. Step 3: Cross multiply
    10,890.84x = 16,330.94 × 4,564.53
  4. Step 4: Simplify right side
    10,890.84x = 74,543,042.74
  5. Step 5: Solve for x
    x = 74,543,042.74/10,890.84
  6. Step 6: Final answer
    x = 6,844.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.